zla_gbrcond_c.f(3) LAPACK zla_gbrcond_c.f(3)NAMEzla_gbrcond_c.f-
SYNOPSIS
Functions/Subroutines
DOUBLE PRECISION function zla_gbrcond_c (TRANS, N, KL, KU, AB, LDAB,
AFB, LDAFB, IPIV, C, CAPPLY, INFO, WORK, RWORK)
ZLA_GBRCOND_C computes the infinity norm condition number of
op(A)*inv(diag(c)) for general banded matrices.
Function/Subroutine Documentation
DOUBLE PRECISION function zla_gbrcond_c (characterTRANS, integerN,
integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB,
complex*16, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension(
* )IPIV, double precision, dimension( * )C, logicalCAPPLY, integerINFO,
complex*16, dimension( * )WORK, double precision, dimension( * )RWORK)
ZLA_GBRCOND_C computes the infinity norm condition number of
op(A)*inv(diag(c)) for general banded matrices.
Purpose:
ZLA_GBRCOND_C Computes the infinity norm condition number of
op(A) * inv(diag(C)) where C is a DOUBLE PRECISION vector.
Parameters:
TRANS
TRANS is CHARACTER*1
Specifies the form of the system of equations:
= 'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate Transpose = Transpose)
N
N is INTEGER
The number of linear equations, i.e., the order of the
matrix A. N >= 0.
KL
KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.
KU
KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.
AB
AB is COMPLEX*16 array, dimension (LDAB,N)
On entry, the matrix A in band storage, in rows 1 to KL+KU+1.
The j-th column of A is stored in the j-th column of the
array AB as follows:
AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)
LDAB
LDAB is INTEGER
The leading dimension of the array AB. LDAB >= KL+KU+1.
AFB
AFB is COMPLEX*16 array, dimension (LDAFB,N)
Details of the LU factorization of the band matrix A, as
computed by ZGBTRF. U is stored as an upper triangular
band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1,
and the multipliers used during the factorization are stored
in rows KL+KU+2 to 2*KL+KU+1.
LDAFB
LDAFB is INTEGER
The leading dimension of the array AFB. LDAFB >= 2*KL+KU+1.
IPIV
IPIV is INTEGER array, dimension (N)
The pivot indices from the factorization A = P*L*U
as computed by ZGBTRF; row i of the matrix was interchanged
with row IPIV(i).
C
C is DOUBLE PRECISION array, dimension (N)
The vector C in the formula op(A) * inv(diag(C)).
CAPPLY
CAPPLY is LOGICAL
If .TRUE. then access the vector C in the formula above.
INFO
INFO is INTEGER
= 0: Successful exit.
i > 0: The ith argument is invalid.
WORK
WORK is COMPLEX*16 array, dimension (2*N).
Workspace.
RWORK
RWORK is DOUBLE PRECISION array, dimension (N).
Workspace.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 161 of file zla_gbrcond_c.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Sat Nov 16 2013 zla_gbrcond_c.f(3)
